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Finding the Fourth Proportional to 401,571.36, 602,164.80 and 233,138.22

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Solution

The fourth proportional to 401,571.36, 602,164.80 and 233,138.22 is: 349,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,571.36 : 602,164.80 = 233,138.22 : x
  2. Step 2: Convert to fraction form
    401,571.36/602,164.80 = 233,138.22/x
  3. Step 3: Cross multiply
    401,571.36x = 602,164.80 × 233,138.22
  4. Step 4: Simplify right side
    401,571.36x = 140,387,629,618.66
  5. Step 5: Solve for x
    x = 140,387,629,618.66/401,571.36
  6. Step 6: Final answer
    x = 349,595.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.